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Finding the Third Proportional to 32,739 and 71,475.25

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Solution

The third proportional to 32,739 and 71,475.25 is: 156,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,739 : 71,475.25 = 71,475.25 : x
  2. Step 2: Convert to fraction form
    32,739/71,475.25 = 71,475.25/x
  3. Step 3: Cross multiply
    32,739x = 71,475.25 × 71,475.25
  4. Step 4: Simplify right side
    32,739x = 5,108,711,362.56
  5. Step 5: Solve for x
    x = 5,108,711,362.56/32,739
  6. Step 6: Final answer
    x = 156,043.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.